Projectile Motion Calculator
Calculate range, height, and flight time for projectiles.
This tool is for informational and educational purposes only. It is not a substitute for professional financial, medical, legal, or engineering advice. See Terms of Service.
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Enter the launch velocity in m/s and the launch angle in degrees. The calculator computes the horizontal range, maximum height, and total flight time, assuming level ground and no air resistance.
About Projectile Motion
Projectile motion combines horizontal motion at constant velocity with vertical motion under gravity. The range equals v2 sin(2 theta)/g, maximum height equals v2 sin2(theta)/(2g), and flight time equals 2v sin(theta)/g. These equations assume flat ground, no air resistance, and constant gravitational acceleration. Projectile motion analysis is used in ballistics, sports science, and aerospace engineering.
Frequently Asked Questions
What angle gives maximum range?
45 degrees gives maximum range for a projectile launched from ground level (ignoring air resistance). At this angle, the horizontal and vertical velocity components are equal.
Does mass affect projectile range?
No (ignoring air resistance). All objects launched at the same speed and angle travel the same distance in a vacuum. In reality, air resistance affects lighter and less dense objects more.
What is the trajectory shape?
A projectile follows a parabolic trajectory (ignoring air resistance). The horizontal motion is uniform while the vertical motion is uniformly accelerated by gravity.